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The torque developed by a 3-phase induction motor least depends on which the following options ?
rotor power factor
shaft diameter
rotor EMF
rotor current
shaft diameter
The torque developed by a 3-phase induction motor is determined by electromagnetic parameters such as flux, rotor current, and rotor power factor. Shaft diameter is a mechanical design parameter used for transmitting torque to the load and does not influence the electromagnetic torque generation process itself.
IS 325:1996
The torque developed by a 3-phase induction motor is determined by electromagnetic parameters such as flux, rotor current, and rotor power factor. Shaft diameter is a mechanical design parameter used for transmitting torque to the load and does not influence the electromagnetic torque generation process itself.
T=kтЛЕ╬жтЛЕI2тАЛтЛЕcos(╧Х2тАЛ) тАФ Electromagnetic torque equation
I2тАЛ=R22тАЛ+(sX2тАЛ)2тАЛsE2тАЛтАЛ тАФ Rotor current expression
cos(╧Х2тАЛ)=R22тАЛ+(sX2тАЛ)2тАЛR2тАЛтАЛ тАФ Rotor power factor
Torque in an induction motor is produced by the interaction of the rotating magnetic field and the current induced in the rotor conductors. According to the torque equation, torque is proportional to the flux, rotor current, and the rotor power factor (cosine of the phase angle between rotor EMF and rotor current).
Electromagnetic torque depends on air-gap flux produced by the stator.
Rotor power factor (cos(phi2тАЛ)) dictates how much of the rotor current produces active torque.
Shaft diameter is calculated based on the allowable shear stress to withstand the torque, not the cause of the torque.
Changes in supply voltage affect flux, significantly altering the torque (TтИЭV2).
High starting torque with wound rotor motors
Robust construction for industrial environments
Torque is highly sensitive to voltage fluctuations
High inrush current during DOL starting
Industrial pumps and compressors
Conveyor belts and HVAC systems
Rotor EMF (E2тАЛ) is proportional to slip (s).
Option B (shaft diameter) is a mechanical specification for sizing the component to handle transmitted stress, not an electrical parameter affecting the production of torque.
The rotor current (I2тАЛ) and rotor power factor (cos(phi2тАЛ)) are fundamental variables in the standard torque equation.
B is correct тАФ shaft diameter is a mechanical dimension and does not influence the electromagnetic torque generation in the air gap.
Remember that torque is an electromagnetic phenomenon; always differentiate between electromagnetic factors (V,I,R,X,╬ж) and mechanical factors (Shaftdiameter,Bearinglife,Coolingframe).